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Poincaré recurrence theorem and the strong CP-problem
Poincaré recurrence theorem and the strong CP-problem
2005-03-17
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arxiv.org/abs/hep-ph/0503168v3
Phys.Rev. D73 (2006) 034006
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, RevTeX, 3 figures. Revised after referee suggestions. Now
includes model independent arguments
Scientific paper
10.1103/PhysRevD.73.034006
The existence in the physical QCD vacuum of nonzero gluon condensates, such as $$, requires dominance of gluon fields with finite mean action density. This naturally allows any real number value for the unit ``topological charge'' $q$ characterising the fields approximating the gluon configurations which should dominate the QCD partition function. If $q$ is an irrational number then the critical values of the $\theta$ parameter for which CP is spontaneously broken are dense in $\mathbb{R}$, which provides for a mechanism of resolving the strong CP problem simultaneously with a correct implementation of $U_{\rm A}(1)$ symmetry. We present an explicit realisation of this mechanism within a QCD motivated domain model. Some model independent arguments are given that suggest the relevance of this mechanism also to genuine QCD.
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